45582914286144 has 693 divisors, whose sum is σ = 142780751541939. Its totient is φ = 14437433260800.

The previous prime is 45582914286137. The next prime is 45582914286163. The reversal of 45582914286144 is 44168241928554.

The square root of 45582914286144 is 6751512.

It is a perfect power (a square), and thus also a powerful number.

45582914286144 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 2 + 9 + 1 + 4 + 2 + 8 + 614 + 4 = 666.

It is a super-2 number, since 2×45582914286144² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 301873604469 + ... + 301873604619.

Almost surely, 2^{45582914286144} is an apocalyptic number.

45582914286144 is the 6751512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45582914286144

45582914286144 is an abundant number, since it is smaller than the sum of its proper divisors (97197837255795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45582914286144 is an frugal number, since it uses more digits than its factorization.

45582914286144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 179 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 45582914286144 in words is "forty-five trillion, five hundred eighty-two billion, nine hundred fourteen million, two hundred eighty-six thousand, one hundred forty-four".